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Finding the Fourth Proportional to 3,045.38, 4,203.41 and 1,985.78

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Solution

The fourth proportional to 3,045.38, 4,203.41 and 1,985.78 is: 2,740.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.38 : 4,203.41 = 1,985.78 : x
  2. Step 2: Convert to fraction form
    3,045.38/4,203.41 = 1,985.78/x
  3. Step 3: Cross multiply
    3,045.38x = 4,203.41 × 1,985.78
  4. Step 4: Simplify right side
    3,045.38x = 8,347,048.09
  5. Step 5: Solve for x
    x = 8,347,048.09/3,045.38
  6. Step 6: Final answer
    x = 2,740.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.